Adding inverses to diagrams encoding algebraic structures

Details Adding inverses to diagrams encoding algebraic structures Adding inverses to diagrams encoding algebraic structures

2006-10-09

arxiv.org/abs/math/0610291v2

Homology, Homotopy Appl. 10(2), 2008, 149-174

Mathematics

Algebraic Topology

24 pages, final version

Scientific paper

We modify a previous result, which showed that certain diagrams of spaces are essentially simplicial monoids, to construct diagrams of spaces which model simplicial groups. Furthermore, we show that these diagrams can be generalized to models for Segal groupoids. We then modify Segal's model for simplicial abelian monoids in such a way that it becomes a model for simplicial abelian groups.

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